Free ACT Prep 1

Question 1: What is sec(a)sin(a) + csc(a)cos(a) , if a = 45^o?

√2
2
1
1/√2
1/2

Question #2: In the standard (x,y) coordinate plane, 3 corners of a square are (4, –3), (–4, 3), and (–4, -3). What are the coordinates of the square’s fourth corner?

(1/4, –1/3)
(4, 3)
(3, 4)
(-3, 4)
(3, -4)

Question #3: Prizes totaling $60,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?

$5,000
$10,000
$15,000
$25,000
$65,000

Question 4: What is the area of rectangle ABCD if the length of the side AB is 5?

40
50
25
25√3
15√3

Question 5: What is the circumference of circle O from the figure below if the length of the sides of the ABCD square is 5 inches?

10·¶ inches
5·¶ inches
¶ inches
16 inches
12 inches

Question 6: Ellipse (x - 3)²/9 + (y - 5)²/5 = 1 is inscribed in circle O. The transverse of the ellipse is also a diameter of the circle O. The equation that describes circle O in the standard (x,y) plane is:

(x + 3)² + (y + 5)² = 3²
(x - 3)² + (y - 5)² = 1
(x - 3)² + (y - 5)² = 3²
(x - 3)³ + (y - 5)³ = 3³
(x - 3)² + (y - 5)² = 7

Question 7: The marked price of the shirts in a store is $25. During one week, the store sells m shirts at the marked price and n shirts discounted 25% of the marked price. Which of the following is an expression of the average price of the shirts sold?

($25m + $18.75n) /(m + n)
($25m + $18.75n) /(2m + 2n)
$25m + $18.75n
($25 + $20) /(m + n)
(m + n) / ($25m + $20n)

Question 8: A box contains 7 blue marbles, 4 red marbles and 6 green marbles. How many additional blue marbles must be added in the box so that the probability of randomly drawing a blue marble is 1/2?

2
3
4
5
6

Question 9: A number is increased 50% and the resulting number is decreased 50%. The final number is what percent of the original number?

50%
125%
75%
100%
105%

Question 10: The inequality 2x + 3 > 5x - 6 is equivalent with which of the following inequalities?

x > 6
x < 6
x > 3
x < 3
x < 10

Free Test Online

Standardized Tests Math and Science Practice

Test Prep Books

Worksheets

ACT Prep #3

Advanced Placement

Math Review